Abstract

Analytical solutions of the wave equation for pressure fields generated by reflection of plane waves from symmetric V-shaped reflectors consisting of two triangles are expressed as three combinations of a function which represents pressure field induced around a wedge or a corner. In order to compare the analytical results of the wave equation with numerical results of gasdynamics, simulations are conducted for reflection of a plane shock wave at the incident shock Mach number of 1.05 from several V-shaped reflectors employing an explicit TVD scheme. Comparisons of pressure fields between the computed and the analytical results show good agreement.

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